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Finding the Third Proportional to 302,296 and 451,864

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Solution

The third proportional to 302,296 and 451,864 is: 675,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,296 : 451,864 = 451,864 : x
  2. Step 2: Convert to fraction form
    302,296/451,864 = 451,864/x
  3. Step 3: Cross multiply
    302,296x = 451,864 × 451,864
  4. Step 4: Simplify right side
    302,296x = 204,181,074,496
  5. Step 5: Solve for x
    x = 204,181,074,496/302,296
  6. Step 6: Final answer
    x = 675,434.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.